$\int\frac{6}{\left(2x-9\right)^4}dx$

$ln\left(y^{2y}\:\right)dy-sin\left(\:\sqrt{x}\right)dx=0$

$\lim_{x\to\infty}\left(\sqrt{x^2+19x}\right)+x$

$-2+\frac{x}{x-6}=\frac{3}{x-6}$

$0.5\left(r+2.75\right)\:=\:3$

$\frac{4^{11}}{4^{-8}}$

$y=\frac{\theta^{3}\cos\theta}{\left(\theta+5\right)^{2}}$